Finding the Fourth Proportional to 10,559.16, 14,571.48 and 5,778.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,559.16 : 14,571.48 = 5,778.99 : x
2. Step 2: Convert to fraction form
   10,559.16/14,571.48 = 5,778.99/x
3. Step 3: Cross multiply
   10,559.16x = 14,571.48 × 5,778.99
4. Step 4: Simplify right side
   10,559.16x = 84,208,364.35
5. Step 5: Solve for x
   x = 84,208,364.35/10,559.16
6. Step 6: Final answer
   x = 7,974.92